Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Power Series

Abstract

In this letter, a new chaotic system is discussed. Some basic dynamical properties, such as Lyapunov exponents, Poincar\u00e9 mapping are studied. Based on Lyapunov stability theory, the new chaotic system is controlled by the method of adaptive backstepping. Numerical simulations show effectiveness and feasibility of this approach.